100101212100013 has 2 divisors, whose sum is σ = 100101212100014. Its totient is φ = 100101212100012.

The previous prime is 100101212099899. The next prime is 100101212100133. The reversal of 100101212100013 is 310001212101001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56421775942249 + 43679436157764 = 7511443^2 + 6609042^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101212100013 - 2¹³ = 100101212091821 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100101212099966 and 100101212100002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100101212100613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050606050006 + 50050606050007.

It is an arithmetic number, because the mean of its divisors is an integer number (50050606050007).

Almost surely, 2^{100101212100013} is an apocalyptic number.

It is an amenable number.

100101212100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101212100013 is an equidigital number, since it uses as much as digits as its factorization.

100101212100013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 100101212100013 its reverse (310001212101001), we get a palindrome (410102424201014).

The spelling of 100101212100013 in words is "one hundred trillion, one hundred one billion, two hundred twelve million, one hundred thousand, thirteen".